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Ricco, Graciela – Educational Studies in Mathematics, 1982
This study, written in French, presents the hierarchy of strategies used by children in solving multiplication and division problems, as they acquire the linear function concept. It is based on analysis of the different classes of problems, of specific tasks, and of strategies actually used in solutions. (MP)
Descriptors: Cognitive Processes, Division, Educational Research, Elementary Secondary Education
Hart, Kath – Mathematics Teaching, 1982
Portions of interviews with children who are engaged in a problem solving activity are presented. The problem used is an "eel question" taken from the work of Piaget. The verbal responses of children are seen as a part of effective teaching, and this method of assessment is encouraged. (MP)
Descriptors: Cognitive Development, Cognitive Processes, Educational Research, Elementary Education
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Bernard, John – Arithmetic Teacher, 1982
A way to cast computational practice or review in a problem-solving context without moving into word problems is presented. The game described is viewed as an instructional tool that will allow pupils to explore and help them to develop forerunners of important mathematical problem-solving skills. (MP)
Descriptors: Computation, Drills (Practice), Educational Games, Elementary Secondary Education
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Vance, Irvin E. – Mathematics Teacher, 1981
The question is asked, "How many gifts in total were given in 'The Twelve Days of Christmas' song," and is shown to relate to several other problems. Most of the number patterns and partitions dealt with are viewed to be usable with students in junior and senior high school. (MP)
Descriptors: Instructional Materials, Mathematical Concepts, Mathematical Enrichment, Mathematics Education
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Jensen, Rosalie; O'Neil, David R. – Arithmetic Teacher, 1982
Three examples of problems that can be adapted to different grade levels and abilities and used to help children develop problem-solving skills are discussed. Some of the specific approaches recommended for teachers in helping students to find solutions are detailed with each example. (MP)
Descriptors: Elementary Secondary Education, Instructional Materials, Mathematical Applications, Mathematics Education
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Di Carlucci, Joseph – Mathematics Teacher, 1982
Lessons given to a group of mathematically talented eleventh and twelfth graders enrolled in a problem-solving course that provided practice in applying the heuristic strategy of working backward are detailed. Special attention was given to the process of formulating generalizations that represent large problem classes. (MP)
Descriptors: Grade 11, Grade 12, Mathematical Logic, Mathematics Instruction
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Castaneda, Alberta M.; And Others – School Science and Mathematics, 1982
This guide focuses on the role of problem solving in developing mathematical concepts of young children, selected problem situations or tasks for engaging children in problem solving, and criteria designed to provide a guide to teachers and parents of young children in formulating appropriate problem-solving situations. (MP)
Descriptors: Early Childhood Education, Elementary Education, Learning Activities, Mathematical Concepts
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Lippold, George C. – Mathematics Teacher, 1982
Ideas are presented regarding: (1) unique learning activities for students who have difficulty with operations with signed numbers; (2) a mathematical inspection of a unique card trick that can be expressed as an equation; and (3) sketching of graphs of composite trigonometric functions. (MP)
Descriptors: Algebra, Mathematical Enrichment, Mathematical Models, Mathematics Instruction
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Knill, George; Fawcett, George – Mathematics Teacher, 1982
Wind chill is detailed and noted as an estimate of how cold the wind makes a person feel in cold weather. A worksheet master that provides a table of temperatures and wind speeds is provided along with a set of problems. Answers to the brief question set are provided. (MP)
Descriptors: Elementary Secondary Education, Instructional Materials, Mathematical Applications, Mathematical Enrichment
Crothamel, David A. – MATYC Journal, 1981
This report illustrates how high school statistics students at the junior and senior year level utilize the TRS-80 microcomputer and the Level II BASIC programing language to handle computations of a least squares problem, where an equation is fitted to empirical data. (MP)
Descriptors: Achievement, Computer Programs, Computers, Mathematical Applications
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Tahta, Dick – For the Learning of Mathematics, 1980
Some ways of thinking and acting geometrically are described which are related to the approach used by ancient humans. The focus is on intuitive geometric imagery, an attempt to resurrect a way of describing possible viewpoints of geometry outside of those commonly accepted. (MP)
Descriptors: Ancient History, Geometric Concepts, Geometry, Imagery
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Spitler, Gail – Arithmetic Teacher, 1981
An approach to teaching pupils the long division algorithm that relies heavily on a consistent and logical approach to estimation is reviewed. Once learned, the division estimator can be used to support the standard repeated subtraction algorithm. (MP)
Descriptors: Algorithms, Division, Drills (Practice), Elementary Education
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Padberg, Friedhelm F. – Arithmetic Teacher, 1981
Problems focusing on number theory that can make good use of the calculator in discovering and proving simple theorems are proposed. The focus is on the properties of subtracting the smaller of a three digit number and its mirror number from the larger in a process that leads to zero. (MP)
Descriptors: Calculators, Elementary Secondary Education, Instructional Materials, Mathematical Concepts
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Aviv, Cherie A.; Rachlin, Sid – Mathematics Teacher, 1981
A procedure for constructing a magic cube is presented, with related teaching activities appropriate for students familiar or unfamiliar with the algorithm covered. (MP)
Descriptors: Algorithms, College Mathematics, Higher Education, Mathematical Enrichment
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Reys, Robert E. – Arithmetic Teacher, 1981
A model that can be effectively used to develop the notion of function and provide varied practice by using "real world" examples and concrete objects is covered. The use of Popsicle-sticks is featured, with some suggestions for tasks involving functions with one operation, two operations, and inverse operations covered. (MP)
Descriptors: Elementary Education, Elementary School Mathematics, Learning Activities, Mathematical Concepts
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